(Z^4-2z^3-8z^2)=0

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Solution for (Z^4-2z^3-8z^2)=0 equation:


Simplifying
(Z4 + -2z3 + -8z2) = 0

Reorder the terms:
(Z4 + -8z2 + -2z3) = 0

Remove parenthesis around (Z4 + -8z2 + -2z3)
Z4 + -8z2 + -2z3 = 0

Solving
Z4 + -8z2 + -2z3 = 0

Solving for variable 'Z'.

Move all terms containing Z to the left, all other terms to the right.

Add '8z2' to each side of the equation.
Z4 + -8z2 + 8z2 + -2z3 = 0 + 8z2

Combine like terms: -8z2 + 8z2 = 0
Z4 + 0 + -2z3 = 0 + 8z2
Z4 + -2z3 = 0 + 8z2
Remove the zero:
Z4 + -2z3 = 8z2

Add '2z3' to each side of the equation.
Z4 + -2z3 + 2z3 = 8z2 + 2z3

Combine like terms: -2z3 + 2z3 = 0
Z4 + 0 = 8z2 + 2z3
Z4 = 8z2 + 2z3

Simplifying
Z4 = 8z2 + 2z3

Reorder the terms:
Z4 + -8z2 + -2z3 = 8z2 + -8z2 + 2z3 + -2z3

Combine like terms: 8z2 + -8z2 = 0
Z4 + -8z2 + -2z3 = 0 + 2z3 + -2z3
Z4 + -8z2 + -2z3 = 2z3 + -2z3

Combine like terms: 2z3 + -2z3 = 0
Z4 + -8z2 + -2z3 = 0

The solution to this equation could not be determined.

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